CAJ | 학술논문

考虑被捕食者的生长率和捕食者的死亡率分别受到高斯白噪声和泊松白噪声扰动的情况，建立了具有BDA功能性反应的三种群密度的随机演化模型，并利用Milstein方法对系统进行了离散化处理；通过计算机代数Matlab编程，完成了确定系统及随机系统的数值模拟。结果表明：在随机扰动强度很小的情况下，系统会产生有界的混沌状态。
고필피포식자적생장솔화포식자적사망솔분별수도고사백조성화박송백조성우동적정황，건립료구유BDA공능성반응적삼충군밀도적수궤연화모형，병이용Milstein방법대계통진행료리산화처리；통과계산궤대수Matlab편정，완성료학정계통급수궤계통적수치모의。결과표명：재수궤우동강도흔소적정황하，계통회산생유계적혼돈상태。
Considering Poisson white noise and Gauss white noise into the intrinsic grow rate of prey and the death rate of predators, a stochastic system of three population densities with Beddington-DeAngelis functional response is established. Then Milstein method is used to make stochastic system discrete and programs is compiled with computer algebra Matlab to finish the analysis. Numerical simulations of deterministic system and stochastic system certifiy the result obtained. The results demonstrate that a bounded chaotic attractor would occur in the stochastic system if the noises are sufficiently small.